Pith Number

pith:3EMDTRA4

pith:2011:3EMDTRA43JPCMWDVWN4UIS27AP

not attested not anchored not stored refs pending

Learning about Quantum Gravity with a Couple of Nodes

Enrique F. Borja, Francesca Vidotto, I\~naki Garay

arxiv:1110.3020 v4 · 2011-10-13 · gr-qc

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EMDTRA43JPCMWDVWN4UIS27AP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:59:25.166498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d91839c41cda5e265875b379444b5f03fa0763f0d3f0e47a63e94fd40bc540a6

Aliases

arxiv: 1110.3020 · arxiv_version: 1110.3020v4 · doi: 10.48550/arxiv.1110.3020 · pith_short_12: 3EMDTRA43JPC · pith_short_16: 3EMDTRA43JPCMWDV · pith_short_8: 3EMDTRA4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3EMDTRA43JPCMWDVWN4UIS27AP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d91839c41cda5e265875b379444b5f03fa0763f0d3f0e47a63e94fd40bc540a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd72d48f18b1cd861726cac01ce9e05c5c55fc12d261125b21eff9a8e6f9a677",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-13T18:11:35Z",
    "title_canon_sha256": "07e00a023074d7e8dcc4b9356c7e4dca37b7868970ee2d1f5b3968a878d8e94c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3020",
    "kind": "arxiv",
    "version": 4
  }
}